While moving from equation at 5:35 to 8:15, where did the two more terms Xe(t)_dot and f(Xe, Uo) go? They just vanished. h( ) disappearing makes sense as it's limit tends to zero.
Please compare LHS and RHS. LHS : Xe(t)_dot + dx(t)_dot We also know x(t)_dot = f(x(t),u). So using this knowledge, Xe(t)_dot = f(Xe(t), Uo). So the rest of the terms in RHS will be dx(t)_dot. Hope this clarifies :)
@@Topperly Thank you so much! It took me a while to figure out why are those two terms equal to each other but now it is clear (it was the first equation of that section). Then they cancel each other. Really appreciate all the example that you provide between the theory. Also grateful for the promt response. Thank god I choose your videos to learn this.
Wow great video. I'm a 3rd year aerospace engineering student (I'm final year of bachelors), I'm doing an individual project on non-linear control, specifically sliding mode control. Do you have any resources that explain the concept in the same manner as your videos that very easy to follow and understand? This is usually a masters course so I have not studied this, and the videos available online delve deep into the maths too quickly that I can't follow, like I see symbols Ive never seen before. Please reply. Thanks
1. Applied Nonlinear Control by Slotine and Li - amzn.to/2Ed8Rw6 2. Nonlinear Control Systems by Alberto Isidori - amzn.to/3l5VeQv 3. Nonlinear Systems by Hassan K Khalil - amzn.to/3aG0zsA These are some great sources I use for my studies. Please see if they help :)
We obtain our equilibrium points by equating the state equations to zero. Equating the first equation to zero gives us x2 = 0. Now plugging this x2 = 0 into second equation gives us sin(x1)=0 and this is satisfied when x1=nπ. So our equilibrium points are (nπ,0).
great initiative......quality lectures in short time and it is easy for students to understand due to ample numericals.
please try to put more videos....it will surely connect many students.
Thank you for your mind words :)
@@Topperly kind*
Haha....sorry for the typo
While moving from equation at 5:35 to 8:15, where did the two more terms Xe(t)_dot and f(Xe, Uo) go?
They just vanished. h( ) disappearing makes sense as it's limit tends to zero.
Please compare LHS and RHS.
LHS : Xe(t)_dot + dx(t)_dot
We also know x(t)_dot = f(x(t),u).
So using this knowledge, Xe(t)_dot = f(Xe(t), Uo).
So the rest of the terms in RHS will be dx(t)_dot.
Hope this clarifies :)
@@Topperly Thank you so much! It took me a while to figure out why are those two terms equal to each other but now it is clear (it was the first equation of that section). Then they cancel each other.
Really appreciate all the example that you provide between the theory. Also grateful for the promt response. Thank god I choose your videos to learn this.
Wow great video. I'm a 3rd year aerospace engineering student (I'm final year of bachelors), I'm doing an individual project on non-linear control, specifically sliding mode control. Do you have any resources that explain the concept in the same manner as your videos that very easy to follow and understand? This is usually a masters course so I have not studied this, and the videos available online delve deep into the maths too quickly that I can't follow, like I see symbols Ive never seen before. Please reply. Thanks
1. Applied Nonlinear Control by Slotine and Li - amzn.to/2Ed8Rw6
2. Nonlinear Control Systems by Alberto Isidori - amzn.to/3l5VeQv
3. Nonlinear Systems by Hassan K Khalil - amzn.to/3aG0zsA
These are some great sources I use for my studies. Please see if they help :)
Hello, thank you for the explanation also can you add subtitles please?
We'll try to add subtitles :)
Subtitles are done :)
I love it 🥰
Glad to hear that :)
TO DEFINE EQB POINTS WE PUT STATE EQN =0
Yes, you are right. :)
How did you determine X1 = nπ
We obtain our equilibrium points by equating the state equations to zero. Equating the first equation to zero gives us x2 = 0. Now plugging this x2 = 0 into second equation gives us sin(x1)=0 and this is satisfied when x1=nπ. So our equilibrium points are (nπ,0).
@@Topperly thank you
Mam Plse provide PDF notes of lecture
Sorry! We don't have notes.